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Finding the Fourth Proportional to 1,323.16, 1,984.83 and 749.68

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Solution

The fourth proportional to 1,323.16, 1,984.83 and 749.68 is: 1,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.16 : 1,984.83 = 749.68 : x
  2. Step 2: Convert to fraction form
    1,323.16/1,984.83 = 749.68/x
  3. Step 3: Cross multiply
    1,323.16x = 1,984.83 × 749.68
  4. Step 4: Simplify right side
    1,323.16x = 1,487,987.35
  5. Step 5: Solve for x
    x = 1,487,987.35/1,323.16
  6. Step 6: Final answer
    x = 1,124.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.